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Finding the Fourth Proportional to 489.61, 675.68 and 268.58

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Solution

The fourth proportional to 489.61, 675.68 and 268.58 is: 370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.61 : 675.68 = 268.58 : x
  2. Step 2: Convert to fraction form
    489.61/675.68 = 268.58/x
  3. Step 3: Cross multiply
    489.61x = 675.68 × 268.58
  4. Step 4: Simplify right side
    489.61x = 181,474.13
  5. Step 5: Solve for x
    x = 181,474.13/489.61
  6. Step 6: Final answer
    x = 370.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.